A remark on analytic Fredholm alternative

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• 作者：Leonid Golinskii ; Stanislas Kupin
• 关键词：Analytic Fredholm alternative ; Zeros of analytic functions satisfying certain growth condition ; Jensen ; type inequality ; Generalized Blaschke condition
• 刊名：Letters in Mathematical Physics
• 出版年：2017
• 出版时间：March 2017
• 年：2017
• 卷：107
• 期：3
• 页码：467-474
• 全文大小：
• 刊物类别：Physics and Astronomy
• 刊物主题：Theoretical, Mathematical and Computational Physics; Complex Systems; Geometry; Group Theory and Generalizations;
• 出版者：Springer Netherlands
• ISSN：1573-0530
• 卷排序：107

文摘

We apply a recent result of Borichev–Golinskii–Kupin on the Blaschke-type conditions for zeros of analytic functions on the complex plane with a cut along the positive semi-axis to the problem of the eigenvalues distribution of the Fredholm-type analytic operator-valued functions.